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Yes and no.
It depends on your definition of square root. By the actual one, yes. All non-negative numbers have a square root. That square root might be irrational but it has a square root, nonetheless. 10 isn't a square number because there's no integer that can be squared to make ten but 10 definitely has a square root: 3.16227766.......
If by square root you mean an integer square root, then no. If a number has an integer as its square root then you could square that integer to get the number, making it a square number.
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What are positive square roots called?
They are called real numbers. Negative square roots must be complex numbers.
Are all square roots are irrational numbers?
No. The square roots of perfect squares are rational.
What the square roots of -256?
There are no real square roots of -256. But using complex numbers the square roots of -256 are 16i and -16i.
Which are the following numbers for square roots of 144?
There are no following numbers!
Are there any square roots of negative numbers?
imaginary numbers. but no, not really.
